Results 51 to 60 of about 19,297 (267)
Complete convergence for arrays of minimal order statistics
For arrays of independent Pareto random variables, this paper establishes complete convergence for weighted partial sums for the smaller order statistics within each row. This result improves on past strong laws.
André Adler
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Sums of Weighted Lattice Points of Polytopes
We study the problem of counting lattice points of a polytope that are weighted by an Ehrhart quasi-polynomial of a family of parametric polytopes. As applications one can compute integrals and maximum values of such quasi-polynomials, as well as obtain new identities in representation theory.
De Loera, Jesús A. +3 more
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On the mean value of dedekind sum weighted by the quadratic gauss sum [PDF]
Let \(p\) be the prime greater than \(3\) and such that \(p\equiv 3 \mod 4\). The authors prove three identities. Among them the most important is \[ h_p^2=\frac {(p-1)(p-2)}6-\sum _{m=1}^{p-1}G(m^2-1,\chi _0;p)S(c^2,p), \] where \(h_p\), \(G(m,\chi ;q)\) and \(S(h,q)\) is the class number of the quadratic field \(\mathbb Q(\sqrt {-p})\), the quadratic
Wang, Tingting, Zhang, Wenpeng
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ABSTRACT Hemophilic arthropathy remains the leading morbidity in hemophilia despite modern prophylaxis, and early joint damage may be missed by routine exams. This study explored T2* MRI as a noninvasive biomarker of hemosiderin deposition in pediatric hemophilia.
Jessica Garcia +6 more
wiley +1 more source
Large deviations for weighted random sums
In the present paper we consider weighted random sums ZN = ∑j=1 N ajXj, where 0 0. Throughout this paper N is independent of {X, Xj , j = 1, 2,...} and, for definiteness, it is assumed Z0 = 0. The main idea of the paper is to present results on theorems
Aurelija Kasparavičiūtė +1 more
doaj
ABSTRACT Introduction Anthracycline‐related cardiac remodeling precedes heart failure in childhood cancer survivors. The objectives of this study were to determine the relationships between patient‐specific factors, moderate‐to‐vigorous physical activity (MVPA), and cardiac remodeling.
Hari K. Narayan +15 more
wiley +1 more source
On the weak law of large numbers for normed weighted sums of I.I.D. random variables
For weighted sums ∑j=1najYj of independent and identically distributed random variables {Yn,n≥1}, a general weak law of large numbers of the form (∑j=1najYj−νn)/bn→P0 is established where {νn,n≥1} and {bn,n≥1} are statable constants.
André Adler, Andrew Rosalsky
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Tail Behavior of Randomly Weighted Sums [PDF]
Let {Xt, t ≥ 1} be a sequence of identically distributed and pairwise asymptotically independent random variables with regularly varying tails, and let {Θt, t ≥ 1} be a sequence of positive random variables independent of the sequence {Xt, t ≥ 1}. We will discuss the tail probabilities and almost-sure convergence of X(∞) = ∑t=1∞ΘtXt+ (where X+ = max{0,
Hazra, Rajat Subhra, Maulik, Krishanu
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Misperception of Body Weight After Childhood Cancer
ABSTRACT Background Misperception of body weight can negatively impact the weight management efforts of childhood cancer survivors (CCSs). Both being overweight or underweight are associated with chronic health conditions commonly observed in CCS; therefore, accurate weight perception is critical for reducing long‐term health risks.
Fabiën N. Belle +8 more
wiley +1 more source
Complete Convergence for Weighted Sums of ρ∗-Mixing Random Variables
We obtain the complete convergence for weighted sums of ρ∗-mixing random variables. Our result extends the result of Peligrad and Gut (1999) on unweighted average to a weighted average under a mild condition of weights.
Soo Hak Sung
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